Question

The slope of the line tangent to the curve defined by the intersection of the elliptic paraboloid z = x ^ 2 + y ^ 2 with the plane x = 1 is given by:

Answer 1

the slope that you want is given by partial dz/dy at constant x, since you're interested in the plane x=1
i assume the question wants the value of the slope for x,y coordinates 1,2.